{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "initial_id",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "正态分布画图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "4b553d61",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.stats import norm\n",
    "\n",
    "plt.rcParams['font.sans-serif'] = ['Songti SC']\n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "\n",
    "# 参数\n",
    "mu = 35   # 均值\n",
    "sigma = 8 # 标准差\n",
    "\n",
    "# x 轴范围（均值 ±4σ）\n",
    "x = np.linspace(mu - 4*sigma, mu + 4*sigma, 500)\n",
    "\n",
    "# 概率密度函数 pdf Probability Density Function\n",
    "y = norm.pdf(x, mu, sigma)\n",
    "\n",
    "# 绘制正态分布曲线\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(x, y, label=f'N({mu},{sigma}²)', color='blue')\n",
    "\n",
    "# 标注均值\n",
    "plt.axvline(mu, color='black', linestyle='--', label='均值 μ')\n",
    "\n",
    "# 绘制正态分布曲线下面的阴影\n",
    "# 标注 μ±σ, μ±2σ\n",
    "for i, color in zip([1,2], ['green','red']):\n",
    "    plt.axvline(mu - i*sigma, color=color, linestyle='--')\n",
    "    plt.axvline(mu + i*sigma, color=color, linestyle='--')\n",
    "    plt.fill_between(\n",
    "        x, 0, y,\n",
    "        where=((x >= mu - i*sigma) & (x <= mu + i*sigma)),\n",
    "        color=color, alpha=0.2,\n",
    "        label=f'μ ± {i}σ'\n",
    "    )\n",
    "\n",
    "# 标题和图例\n",
    "plt.title(\"正态分布 N(35, 8²) 与 μ±σ 区间\")\n",
    "plt.xlabel(\"值\")\n",
    "plt.ylabel(\"概率密度\")\n",
    "plt.legend()\n",
    "plt.grid(alpha=0.3)\n",
    "plt.show()\n"
   ]
  }
 ],
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